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3 years ago

Write a linear equation that is parallel to

Mathematics

1 answer:

san4es73 [151]3 years ago

5 0

Answer:

2y=11 - 5x

Step-by-step explanation:

An equation that is parallel shares the same gradient thus

2y= -5x - 8

y = -5/2x- 4

gradient m = -5/2

substitute value of m and the co-ordinates into a new linear equation

y = mx + c

-9 = (-5/2)(8) + c

c = 20-9 = 11

thus y = -5/2x + 11

2y=11 - 5x

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lina2011 [118]

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5 0

2 years ago

Oil consumption in China grew exponentially from 8.938 million barrels per day in 2010 to 10.480 million barrels per day in 2013

Afina-wow [57]

Let the year represents x axis and consumption represents y axis.

Since 2010 is the initial year, x=0

and 2013 is third year , so x=3

Co-ordinates are (0,8.938)(3,10.480)

Exponential formula is $y=ab^{x}$

Putting the value of x in the above formula from 1st coordinate,

$8.938=ab^{0}$

As $b^{0}$ = 1

this gives a= 8.938

Now using the 2nd coordinate

$10.480=ab^{3}$

putting the value of a in it we have

$10.480=8.938b^{3}$

taking cube roots on both sides we get

b= 1.05448

Now putting the values of a and b in the exponential formula-

$y=8.938(1.05448)^{x}$

In the year 2028, x=28

so,

$y=8.938(1.05448)^{28}$

y= 39.474

Hence oil consumption per day in 2028 will be 39.474 million barrels.

5 0

3 years ago

Read 2 more answers

Find the future value of $2000 invested at annual rate of 2.4% compounded quarterly for 8 years. Round your answer to hundredths

MatroZZZ [7]

Answer: $2421.95

Step-by-step explanation:

A = p(1 + r/n) ^nt

A= 2000(1+0.024/4)^4x8

A= 2421.95

3 0

4 years ago

Help pls what's the common difference

horsena [70]

Answer:

#9: 5

#10: -2

#11: -1.5

Step-by-step explanation:

#9: 3,8,13,18,23,(28),(33),(38),.. Go up by 5 each time, so the common difference is 5.

#10: 11,9,7,5,3,(1),(-1),(-3),... Go down (-) by 2 each time, so the common difference is -2.

#11: 3, 1.5, 0, -1.5, -3, (-4.5), (-6), (-7.5),... Go down (-) by 1.5 each time, so the common difference is -1.5.

7 0

3 years ago

Find the area of the figure 40 yd 36 yd 20 yd 10 yd 10 yd

Ksenya-84 [330]

Answer:

1640yd

Step-by-step explanation:

10*10*2=200

36*40=1440

200+1440=1640 yd

4 0

3 years ago